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The pair of lines represented by the equations 2x + y + 3 = 0 and 4x + ky + 6 = 0 will be parallel if value of k is ______.


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Question 12 (OR 1st question) The pair of lines represented by the equations 2x + y + 3 = 0 and 4x + ky + 6 = 0 will be parallel if value of k is ______. Given lines 2x + y + 3 = 0 and 4x + ky + 6 = 0 Now, Since lines are parallel ๐‘Ž_1/๐‘Ž_2 = ๐‘_1/๐‘_2 โ‰  ๐‘_1/๐‘_2 4x + ky + 6 = 0 Comparing with a2x + b2y + c2 = 0 a2 = 4, b2 = k, c1 = 6 Now, Since lines are parallel ๐‘Ž_1/๐‘Ž_2 = ๐‘_1/๐‘_2 โ‰  ๐‘_1/๐‘_2 Comparing ๐‘Ž_1/๐‘Ž_2 = ๐‘_1/๐‘_2 2/4=1/๐‘˜ 1/2 = 1/๐‘˜ k = 2

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo